135778240800

Names of 135778240800

• Cardinal: 135778240800 can be written as One hundred thirty-five billion, seven hundred seventy-eight million, two hundred forty thousand, eight hundred.

Scientific notation

• Scientific notation: 1.357782408 × 10¹¹

Factors of 135778240800

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 13
• Sum of prime factors: 450

Divisors of 135778240800

• Number of divisors d(n): 864
• Complete list of divisors:
  1 2 3 4 5 6 8 9 10 12 15 16 18 19 20 24 25 30 32 36 38 40 45 48 50 53 57 60 61 72 75 76 80 90 95 96 100 106 114 120 122 144 150 152 159 160 171 180 183 190 200 212 225 228 240 244 265 285 288 300 304 305 307 318 342 360 366 380 400 424 450 456 475 477 480 488 530 549 570 600 608 610 614 636 684 720 732 760 795 800 848 855 900 912 915 921 950 954 976 1007 1060 1098 1140 1159 1200 1220 1228 1272 1325 1368 1425 1440 1464 1520 1525 1535 1590 1696 1710 1800 1824 1830 1842 1900 1908 1952 2014 2120 2196 2280 2318 2385 2400 2440 2456 2544 2650 2736 2745 2763 2850 2928 3021 3040 3050 3070 3180 3233 3420 3477 3600 3660 3684 3800 3816 3975 4028 4240 4275 4392 4560 4575 4605 4636 4770 4880 4912 5035 5088 5300 5472 5490 5526 5700 5795 5833 5856 6042 6100 6140 6360 6466 6840 6954 7200 7320 7368 7600 7632 7675 7950 8056 8480 8550 8784 9063 9120 9150 9210 9272 9540 9699 9760 9824 10070 10431 10600 10980 11052 11400 11590 11666 11925 12084 12200 12280 12720 12932 13680 13725 13815 13908 14640 14736 15105 15200 15264 15350 15900 16112 16165 16271 17100 17385 17499 17568 18126 18300 18420 18544 18727 19080 19398 20140 20862 21200 21960 22104 22800 23025 23180 23332 23850 24168 24400 24560 25175 25440 25864 27360 27450 27630 27816 28975 29097 29165 29280 29472 30210 30700 31800 32224 32330 32542 34200 34770 34998 36252 36600 36840 37088 37454 38160 38796 40280 41724 42400 43920 44208 45315 45600 46050 46360 46664 47700 48336 48495 48800 48813 49120 50350 51728 52155 52497 54900 55260 55632 56181 57950 58194 58330 60420 61400 61427 63600 64660 65084 68400 69075 69540 69996 72504 73200 73680 74908 75525 76320 77592 80560 80825 81355 83448 86925 87495 87840 88416 90630 92100 92720 93328 93635 95400 96672 96990 97626 100700 103456 104310 104994 109800 110520 111264 112362 115900 116388 116660 120840 122800 122854 127200 129320 130168 136800 138150 139080 139992 145008 145485 145825 146400 146439 147360 149816 151050 155184 161120 161650 162710 166896 168543 173850 174990 181260 184200 184281 185440 186656 187270 190800 193980 195252 201400 208620 209988 219600 221040 224724 226575 231800 232776 233320 241680 242475 244065 245600 245708 258640 260336 260775 262485 276300 278160 279984 280905 290016 290970 291650 292878 299632 302100 307135 309149 310368 323300 325420 333792 337086 347700 349980 355813 362520 368400 368562 374540 381600 387960 390504 402800 406775 417240 419976 437475 439200 442080 449448 453150 463600 465552 466640 468175 483360 484950 488130 491416 517280 520672 521550 524970 552600 552843 556320 559968 561810 581940 583300 585756 599264 604200 614270 618298 646600 650840 674172 695400 699960 711626 725040 727425 732195 736800 737124 749080 775920 781008 805600 813550 834480 839952 842715 874950 898896 906300 921405 927200 927447 931104 933280 936350 969900 976260 982832 992531 1043100 1049940 1067439 1105200 1105686 1123620 1163880 1166600 1171512 1208400 1220325 1228540 1236596 1293200 1301680 1312425 1348344 1390800 1399920 1404525 1423252 1450080 1454850 1464390 1474248 1498160 1535675 1545745 1551840 1562016 1627100 1668960 1679904 1685430 1749900 1779065 1797792 1812600 1842810 1854894 1872700 1939800 1952520 1965664 1985062 2086200 2099880 2134878 2210400 2211372 2247240 2327760 2333200 2343024 2416800 2440650 2457080 2473192 2586400 2603360 2624850 2696688 2764215 2781600 2782341 2799840 2809050 2846504 2909700 2928780 2948496 2977593 2996320 3071350 3091490 3202317 3254200 3370860 3499800 3558130 3625200 3660975 3685620 3709788 3745400 3879600 3905040 3970124 4172400 4199760 4213575 4269756 4422744 4494480 4607025 4637235 4655520 4666400 4686048 4881300 4914160 4946384 4962655 5249700 5337195 5393376 5528430 5564682 5618100 5693008 5819400 5857560 5896992 5955186 6142700 6182980 6404634 6508400 6741720 6999600 7116260 7250400 7321950 7371240 7419576 7490800 7728725 7759200 7810080 7940248 8344800 8399520 8427150 8539512 8845488 8895325 8932779 8988960 9214050 9274470 9762600 9828320 9892768 9925310 10499400 10674390 11056860 11129364 11236200 11386016 11638800 11715120 11910372 12285400 12365960 12809268 13016800 13483440 13821075 13911705 13999200 14232520 14643900 14742480 14839152 14887965 14981600 15457450 15880496 16011585 16854300 17079024 17690976 17790650 17865558 18428100 18548940 18858089 19525200 19850620 20998800 21348780 22113720 22258728 22472400 23186175 23277600 23430240 23820744 24570800 24731920 24813275 25618536 26685975 26966880 27642150 27823410 28465040 29287800 29484960 29678304 29775930 30914900 31760992 32023170 33708600 34158048 35581300 35731116 36856200 37097880 37716178 39050400 39701240 41997600 42697560 44227440 44517456 44663895 44944800 46372350 47641488 49141600 49463840 49626550 51237072 53371950 55284300 55646820 56574267 56930080 58575600 59551860 61829800 64046340 67417200 69558525 71162600 71462232 73712400 74195760 74439825 75432356 79402480 80057925 85395120 88454880 89034912 89327790 92744700 94290445 95282976 99253100 102474144 106743900 110568600 111293640 113148534 117151200 119103720 123659600 128092680 134834400 139117050 142325200 142924464 147424800 148391520 148879650 150864712 158804960 160115850 169722801 170790240 178655580 185489400 188580890 198506200 213487800 221137200 222587280 223319475 226297068 238207440 247319200 256185360 278234100 282871335 284650400 285848928 297759300 301729424 320231700 339445602 357311160 370978800 377161780 397012400 426975600 442274400 445174560 446638950 452594136 471452225 476414880 512370720 556468200 565742670 595518600 603458848 640463400 678891204 714622320 741957600 754323560 794024800 848614005 853951200 893277900 905188272 942904450 1112936400 1131485340 1191037200 1280926800 1357782408 1414356675 1429244640 1508647120 1697228010 1786555800 1810376544 1885808900 2225872800 2262970680 2382074400 2561853600 2715564816 2828713350 3017294240 3394456020 3573111600 3771617800 4243070025 4525941360 5431129632 5657426700 6788912040 7146223200 7543235600 8486140050 9051882720 11314853400 13577824080 15086471200 16972280100 22629706800 27155648160 33944560200 45259413600 67889120400 135778240800
• Sum of all divisors σ(n): 523614611520
• Sum of proper divisors (its aliquot sum) s(n): 387836370720
• 135778240800 is an abundant number, because the sum of its proper divisors (387836370720) is greater than itself. Its abundance is 252058129920

Bases of 135778240800

• Binary: 1111110011101000000111000100100100000₂
• Hexadecimal: 0x1F9D038920
• Base-36: 1QDIUX40

Squares and roots of 135778240800

• 135778240800 squared (135778240800²) is 18435730674742784640000
• 135778240800 cubed (135778240800³) is 2503171078879172290912461312000000
• The square root of 135778240800 is 368480.9910972341
• The cube root of 135778240800 is 5139.7665364545

Scales and comparisons

• 135,778,240,800 seconds is equal to 4,317 years, 17 weeks, 10 hours.
• To count from 1 to 135,778,240,800 would take you about eight thousand, six hundred thirty-four years!

  This is a very rough estimate, based on a speaking rate of half a second every third order of magnitude. If you speak quickly, you could probably say any randomly-chosen number between one and a thousand in around half a second. Very big numbers obviously take longer to say, so we add half a second for every extra x1000. (We do not count involuntary pauses, bathroom breaks or the necessity of sleep in our calculation!)

• A cube with a volume of 135778240800 cubic inches would be around 428.3 feet tall.

Recreational maths with 135778240800

• 135778240800 backwards is 008042877531
• 135778240800 is a Harshad number.
• The number of decimal digits it has is: 12
• The sum of 135778240800's digits is 45
• More coming soon!